Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems

<p/> <p>We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.</p>

Bibliographic Details
Main Authors: Caballero Mena J, Harjani J, Sadarangani K
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2009/421310
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author Caballero Mena J
Harjani J
Sadarangani K
author_facet Caballero Mena J
Harjani J
Sadarangani K
author_sort Caballero Mena J
collection DOAJ
description <p/> <p>We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.</p>
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1687-2770
language English
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spelling doaj.art-5a8b2b8f38c8449da7667f499b0339592022-12-21T20:20:07ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-0120091421310Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value ProblemsCaballero Mena JHarjani JSadarangani K<p/> <p>We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.</p>http://www.boundaryvalueproblems.com/content/2009/421310
spellingShingle Caballero Mena J
Harjani J
Sadarangani K
Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
Boundary Value Problems
title Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
title_full Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
title_fullStr Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
title_full_unstemmed Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
title_short Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
title_sort existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems
url http://www.boundaryvalueproblems.com/content/2009/421310
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AT harjanij existenceanduniquenessofpositiveandnondecreasingsolutionsforaclassofsingularfractionalboundaryvalueproblems
AT sadaranganik existenceanduniquenessofpositiveandnondecreasingsolutionsforaclassofsingularfractionalboundaryvalueproblems